39999047270400 has 1377 divisors, whose sum is σ = 151266890618103. Its totient is φ = 10491553382400.

The previous prime is 39999047270387. The next prime is 39999047270419. The reversal of 39999047270400 is 407274099993.

The square root of 39999047270400 is 6324480.

It is a perfect power (a square), and thus also a powerful number.

39999047270400 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 90 + 4 + 72 + 70 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18424285691904 + 21574761578496 = 4292352^2 + 4644864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 655722086370 + ... + 655722086430.

Almost surely, 2^{39999047270400} is an apocalyptic number.

39999047270400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39999047270400 is the 6324480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39999047270400

39999047270400 is an abundant number, since it is smaller than the sum of its proper divisors (111267843347703).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39999047270400 is an frugal number, since it uses more digits than its factorization.

39999047270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 39999047270400 in words is "thirty-nine trillion, nine hundred ninety-nine billion, forty-seven million, two hundred seventy thousand, four hundred".